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Finding the Third Proportional to 1,961,806.50 and 4,382,883

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Solution

The third proportional to 1,961,806.50 and 4,382,883 is: 9,791,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,806.50 : 4,382,883 = 4,382,883 : x
  2. Step 2: Convert to fraction form
    1,961,806.50/4,382,883 = 4,382,883/x
  3. Step 3: Cross multiply
    1,961,806.50x = 4,382,883 × 4,382,883
  4. Step 4: Simplify right side
    1,961,806.50x = 19,209,663,391,689
  5. Step 5: Solve for x
    x = 19,209,663,391,689/1,961,806.50
  6. Step 6: Final answer
    x = 9,791,823.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.